Optimal experimental design for identification of transport coefficient models in convection–diffusion equations

Karalashvili, Maka; Marquardt, Wolfgang; Mhamdi, Adel

doi:10.1016/j.compchemeng.2015.04.036

Cited by 18 publications

(14 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The successful application of the reduced transport model and the ability to obtain local 2D concentration measurements inside the film by the PLIL measurement technique are considered as an important step toward our future modeling goal: the development of a design model for the mass transfer in falling films by means of the incremental modeling approach . The key idea is to augment the molecular diffusion coefficient in the sense of an effective diffusion coefficient to increase the prediction quality of the model.…”

Section: Discussionmentioning

confidence: 99%

“…Since the considered reduced model makes some assumptions (2D geometry, domain and velocity from LWE) to reduce the computational time, the results will be of course different from a DNS simulation or real measurements. To compensate for modeling errors and improve the model in future works, we may apply the incremental identification methodology, that has been already introduced in previous papers . The main idea is to replace the molecular diffusion coefficient D in Eq.…”

Section: Mass Transfer Modeling In Falling Filmsmentioning

confidence: 99%

“…However, the DNS of the film fluid dynamics requires huge computational effort and sophisticated numerical tools which limit their use in practice, e.g., to perform comprehensive model identification . Therefore, there is a need for a reduced modeling approach, which is capable of representing the most important properties of the transport phenomena in falling films at a modest computational cost.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On reduced modeling of mass transport in wavy falling films

et al. 2018

View full text Add to dashboard Cite

In many industrial units such as packing columns, falling film reactors, etc., the liquid phase is designed as a falling film. It is well known that the mass and heat transfer in laminar wavy film flows is significantly enhanced compared to flat films. The kinetic phenomena underlying the increase in mass and heat transfer are, however, still not fully understood. For an efficient design of falling film units, computational models that account for these enhanced transport mechanisms are of key importance. In this article, we present a reduced modeling approach based on a long-wave approximation to the fluid dynamics of the film. Furthermore, we introduce a new two-dimensional (2D) high-resolution laser-induced luminescence measurement technique. Both in the numerical simulation results and in the high-resolution 2D-concentration measurements obtained in the experiments we observe similar patterns of high concentrations locally, especially in the areas close to the wave hump.Since the species transport is dominated by the liquid side, the key idea toward a reduced model is to reduce the detailed two-phase model to a one-phase model of the liquid film phase only, which is still able to account for the wavy enhancement mechanisms. To this end, the two-phase NSE are replaced byThe colored areas resemble the light collected on the CCD-sensor for the first image (P 1 ) and the second image (P 2 ). [Color figure can be viewed at wileyonlinelibrary.com.]

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Mass Transfer Modeling In Falling Filmsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On reduced modeling of mass transport in wavy falling films

et al. 2018

View full text Add to dashboard Cite

show abstract

“…[Nenarokomov and Titov, 2005] estimate the emissivity of insulated materials and analyze the influence of the external heat flux on the accuracy of the solution of the inverse problem. [Karalashvili et al, 2015] use OED to design an optimal falling film experiment for the identification of mass transport coefficients. The D-optimality criterion is used to maximize the FIM.…”

Section: Optimisationmentioning

confidence: 99%

Solving inverse problems in building physics: An overview of guidelines for a careful and optimal use of data

Rouchier

2018

Energy and Buildings

View full text Add to dashboard Cite

Building physics researchers have benefitted from elements of statistical learning and time series analysis to improve their ability to construct knowledge from data. What is referred to here as inverse problems are actually a very broad field that encompasses any study where data is gathered and mined for information. The purpose of the present article is twofold. First, it is a tutorial on the formalism of inverse problems in building physics and the most common ways to solve them. Then, it provides an overview of tools and methods that can either be used to assess or the reliability of inverse problem results, prevent erroneous interpretation of data, and optimise information gained by experiments. It provides an introduction, along with useful references, to the topics of estimation error assessment, regularisation, identifiability analysis, residual analysis, model selection and optimal experiment design. These concepts are presented in the context of building simulation and energy performance assessment: a simple RC model is used as a running example to illustrate each chapter.

show abstract

“…Convection diffusion equations are regarded as a kind of basic equations of motion, which have been applied in describing water flow movement (Hu et al 2016 ; Colla et al 2015 ; Su 2014 ), material transport and diffusion (Liu et al 2016 ; Calo et al 2015 ; Karalashvili et al 2015 ; Fang and Deng 2014 ). Convection diffusion equations are widely used in water conservancy project (Hu et al 2016 ; Su 2014 ), environmental engineering and aviation (Hernandez et al 1995 ), Marine (Farahani et al 2015 ), chemical (Colla et al 2015 ; Diehl 2015 ), metallurgy (Zaib and Shafile 2014 ), so the study of numerical solutions of convection diffusion equations has important theoretical and practical significance.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of the one-dimensional fractional convection diffusion equations based on Chebyshev operational matrix

2016

View full text Add to dashboard Cite

In this paper, we are concerned with nonlinear one-dimensional fractional convection diffusion equations. An effective approach based on Chebyshev operational matrix is constructed to obtain the numerical solution of fractional convection diffusion equations with variable coefficients. The principal characteristic of the approach is the new orthogonal functions based on Chebyshev polynomials to the fractional calculus. The corresponding fractional differential operational matrix is derived. Then the matrix with the Tau method is utilized to transform the solution of this problem into the solution of a system of linear algebraic equations. By solving the linear algebraic equations, the numerical solution is obtained. The approach is tested via examples. It is shown that the proposed algorithm yields better results. Finally, error analysis shows that the algorithm is convergent.

show abstract

Optimal experimental design for identification of transport coefficient models in convection–diffusion equations

Cited by 18 publications

References 29 publications

On reduced modeling of mass transport in wavy falling films

On reduced modeling of mass transport in wavy falling films

Solving inverse problems in building physics: An overview of guidelines for a careful and optimal use of data

Numerical solution of the one-dimensional fractional convection diffusion equations based on Chebyshev operational matrix

Contact Info

Product

Resources

About